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A glass soda bottle is emptied of soda and filled to the very top with water. A cork is carefully fitted into the top of the bottle, leaving no air between the cork and the water. (Figure 1) The top of the bottle has a diameter of

*D*= 2.00 cm and the bottom of the bottle has a diameter of_{top}*D*= 6.50 cm. The glass breaks when it is exposed to_{bot}*P*= 70.0 MPa of pressure._{max}A student hits the cork sharply with her fist and the bottom of the bottle breaks. The student’s fist has a mass of

*m*= 0.480 kg and moves downward at a speed of*v*= 5.00 m/s. It collides elastically with the cork and rebounds with the same speed. The collision lasts for_{i}*t*= 1.20 times 10^{-4}s. In this problem, the positive direction is upward.**Part A**

What is the force that her fist exerts on the top of the bottle?

**Express your answer in newtons to three significant figures.**

-4.00 × 10

^{4}N**Part B**

What is the magnitude of the force exerted on the bottom of the bottle?

**Express your answer in newtons to three significant figures.**

? N

**Part C**

This question will be shown after you complete previous question(s).

♦ Relevant knowledge

In the process of machining, like punching or piercing, blanking, etc. A die made of a heavy weight falls onto the sheet of metal that is which is then punched. The force that is pushed against the sheet is referred to as the force. Force is a significant physical quantity utilized in day-to-day issues.

The correct answer is the exact same as the other person’s, but postive.